Question

graph the line y = 3.

Explanation:

Step1: Identify the nature of the line

The equation $y = 3$ represents a horizontal line. For any value of $x$, the value of $y$ is always 3.

Step2: Plot points

We can choose some arbitrary $x$-values. Let's take $x=- 4,-2,0,2,4$. For each of these $x$-values, $y = 3$. So the points are $(-4,3),(-2,3),(0,3),(2,3),(4,3)$.

Step3: Draw the line

Connect the points with a straight - line. This line will be parallel to the $x$-axis and pass through the point $(0,3)$ on the $y$-axis.

Answer:

Draw a horizontal line passing through the point $(0,3)$ on the $y$-axis. All points on this line have a $y$-coordinate of 3 regardless of the $x$-coordinate.